The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 13RH156
# Created Fri Apr 19 01:14:54 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 12 observations of 12
# Arc: 5.00y
# First observation: 2013/09/08
# Last observation: 2018/09/10
# Chi-squared of fit: 4.29 DOF: 18 RMS: 0.11
# Min/Max residuals: -0.27 0.23
# Exact a, adot, b, bdot, g, gdot:
1.597041E-05 2.778342E-02 -2.423194E-06 -4.355912E-03 2.707704E-02 1.355035E-03
# Covariance matrix:
5.3718E-13 -2.6580E-14 4.3738E-15 -1.0625E-14 5.4631E-13 5.5638E-13
-2.6580E-14 4.7680E-13 2.7233E-14 -7.4096E-14 6.0258E-13 3.8862E-12
4.3738E-15 2.7233E-14 3.3191E-13 -9.3899E-14 3.8546E-14 2.4144E-13
-1.0625E-14 -7.4096E-14 -9.3899E-14 5.0989E-14 -1.0191E-13 -6.5691E-13
5.4631E-13 6.0258E-13 3.8546E-14 -1.0191E-13 1.8976E-12 5.3431E-12
5.5638E-13 3.8862E-12 2.4144E-13 -6.5691E-13 5.3431E-12 3.4453E-11
# lat0 lon0 xBary yBary zBary JD0
1.431873 -2.616959 0.209962 0.024730 -0.986017 2456543.677988
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 45.18538 +/- 0.175
Argument of Peri: 121.16473 +/- 0.205
Long of Asc Node: 185.90611 +/- 0.000
Inclination: 9.00532 +/- 0.000
Eccentricity: 0.05518158 +/- 0.0002
Semi-Major Axis: 39.38578198 +/- 0.0069
Time of Perihelion: 2445212.5912 +/- 44.0
Perihelion: 37.21241232 +/- 0.0088
Aphelion: 41.55915163 +/- 0.0094
Period (y) 247.1823 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.85708197 +/- 0.0019
Ecliptic Y -1.93743965 +/- 0.0001
Ecliptic Z 0.92276312 +/- 0.0001
Ecliptic XDOT 0.00026991 +/- 0.0000
Ecliptic YDOT 0.00279845 +/- 0.0000
Ecliptic ZDOT -0.00043674 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.91783158 +/- 0.0019
Geocenter to KBO 36.93166142 +/- 0.0019
# Hcoef: 7.98
The following table shows the complete astrometric record for 13RH156. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13RH156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.17721 23 48 07.128 +00 16 23.89 24.0g 13RH156 W84 C~52RL 2013 09 30.14155 23 46 21.871 +00 04 01.55 24.1r 13RH156 W84 C~52RL 2013 09 30.14301 23 46 21.874 +00 04 01.70 23.7i 13RH156 W84 C~52RL 2013 10 12.11037 23 45 27.221 -00 02 33.71 23.1i 13RH156 W84 C~52RL 2015 11 07.05070 23 56 14.142 +00 33 26.01 24.0r 13RH156 W84 C~52RL 2015 11 07.05207 23 56 14.147 +00 33 26.09 24.3g 13RH156 W84 C~52RL 2016 09 11.19828 00 06 29.216 +01 26 40.84 23.3i 13RH156 W84 C~52RL 2016 09 22.11486 00 05 37.258 +01 20 35.39 24.1r 13RH156 W84 C~52RL 2017 09 27.18691 00 11 24.846 +01 41 39.74 23.1r 13RH156 W84 C~52RL 2017 09 27.18828 00 11 24.830 +01 41 40.12 23.1i 13RH156 W84 C~52RL 2017 11 08.07554 00 08 26.408 +01 20 17.92 23.7r 13RH156 W84 C~52RL 2018 09 10.20572 00 18 56.528 +02 14 54.37 23.6i 13RH156 W84 C~52RL
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.06 0.00 -0.00
2 0.0601 0.00 -0.09 0.00 -0.20
3 0.0601 0.00 0.06 0.00 0.00
4 0.0929 0.00 -0.03 0.00 0.23
5 2.1626 0.00 -0.04 0.00 -0.07
6 2.1626 0.00 0.10 0.00 0.04
7 3.0090 0.00 -0.08 0.00 0.01
8 3.0388 0.00 0.09 0.00 0.01
9 4.0520 0.00 0.09 0.00 -0.27
10 4.0520 0.00 -0.04 0.00 0.16
11 4.1667 0.00 -0.05 0.00 0.07
12 5.0049 0.00 0.01 0.00 0.05
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
13RH156 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.584 39.584 39.584 ecceobj 0.060 0.060 0.060 incobj 8.983 8.983 8.983 qmin 36.044 36.002 36.097 qmax 43.368 43.379 43.410 amean 39.463 39.463 39.463 amin 39.046 39.041 39.036 amax 39.905 39.936 39.904 emean 0.061 0.060 0.061 emin 0.028 0.028 0.028 emax 0.087 0.086 0.088 imean 10.431 10.424 10.434 imin 8.776 8.768 8.776 imax 12.306 12.309 12.303 excite_mean 0.191 0.191 0.191 fracstop 1.000 1.000 1.000 cjmean 3.010 3.010 3.010 libcent 0 180.2 180.2 180.2 libamp 0 117.0 116.9 117.1 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 179.7 180.1 180.1 kozaiamp 179.9 180.0 180.0